1.

यदि `a+1/a=sqrt(3)` है तो `a^(52)+1/(a^(52))` का मान क्या होगा?A. -1B. 0C. 1D. 2

Answer» Correct Answer - A
`a+1/a=sqrt(3)`
`a^(3)+1/(a^(3))=(sqrt(3))^(3)-3sqrt(3)`
`a^(6)=-1`
`a^(2)+1/(a^(2))=1`
then `a^(52)+1/(a^(52))=(a^(54))/(a^(2))+(a^(2))/(a^(54))`
`=((a^(6))^(9))/(a^(2))+(a^(2))/((a^(6))^(9))`
`=-1/(a^(2))-a^(2)=-(a^(2)+1/a^(2))`
then `a^(52)+1/(a^(52))=-1`


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